Assume that you have a sample of n1 = 8, with the sample mean X1 = 42, and a sample standard deviation S1 = 4, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 34 and a sample standard deviation S2 = 5.
a.What is the value of the pooled-variance tSTAT test statistic for testing H0: µ1 = µ2?
b.In finding the critical value, how many degrees of freedom are there?
c.Using the level of significance α = 0.01, what is the critical value for a one-tail test of the hypothesis H0: µ1 ≤ µ2 against the alternative, H1: µ1 > µ2?
d.What is your statistical decision?
